Details

Time bar (total: 1.2s)

analyze97.0ms (7.9%)

Algorithm
search
Search
TrueOtherFalseIter
0%99.9%0.1%0
0%99.9%0.1%1
0%99.9%0.1%2
0%99.9%0.1%3
0%99.9%0.1%4
25%74.9%0.1%5
25%62.4%12.6%6
25%46.8%28.2%7
31.2%35.9%32.9%8
39%25%36%9
42.9%18.7%38.3%10
47.2%12.9%39.9%11
49.4%9.6%41.1%12
51.6%6.5%41.9%13
52.7%4.8%42.4%14

sample15.0ms (1.2%)

Algorithm
intervals
Results
8.0ms256×body80valid
0.0msbody80invalid

simplify3.0ms (0.3%)

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (2.0ms)

IterNodesCost
03711
13711

prune7.0ms (0.6%)

Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022

Merged error: 0.0b

Counts
2 → 2

localize8.0ms (0.6%)

Local error

Found 2 expressions with local error:

0.0b
(+ (+ (* x x) (* (* x 2.0) y)) (* y y))
0.0b
(+ (* x x) (* (* x 2.0) y))

rewrite11.0ms (0.9%)

Algorithm
rewrite-expression-head
Rules
add-log-exp
sum-log
pow1 add-exp-log +-commutative add-sqr-sqrt add-cube-cbrt *-un-lft-identity flip3-+ add-cbrt-cube flip-+
associate-+l+
Counts
2 → 24
Calls

2 calls:

6.0ms
(+ (+ (* x x) (* (* x 2.0) y)) (* y y))
4.0ms
(+ (* x x) (* (* x 2.0) y))

series12.0ms (1%)

Counts
2 → 6
Calls

2 calls:

6.0ms
(+ (+ (* x x) (* (* x 2.0) y)) (* y y))
6.0ms
(+ (* x x) (* (* x 2.0) y))

simplify48.0ms (3.9%)

Algorithm
egg-herbie
Counts
30 → 30
Iterations

Useful iterations: 0 (42.0ms)

IterNodesCost
04998373
14998373

prune43.0ms (3.5%)

Pruning

2 alts after pruning (1 fresh and 1 done)

PrunedKeptTotal
New29130
Fresh101
Picked011
Done000
Total30232

Merged error: 0b

Counts
32 → 2

localize14.0ms (1.1%)

Local error

Found 4 expressions with local error:

0.5b
(* (cbrt (+ (* x (+ x (* 2.0 y))) (* y y))) (cbrt (+ (* x (+ x (* 2.0 y))) (* y y))))
6.8b
(cbrt (+ (* x (+ x (* 2.0 y))) (* y y)))
6.8b
(cbrt (+ (* x (+ x (* 2.0 y))) (* y y)))
6.8b
(cbrt (+ (* x (+ x (* 2.0 y))) (* y y)))

rewrite33.0ms (2.6%)

Algorithm
rewrite-expression-head
Rules
25×cbrt-prod
23×add-sqr-sqrt
18×cbrt-div
15×add-cube-cbrt *-un-lft-identity
11×pow1
flip3-+ pow1/3 flip-+
add-exp-log swap-sqr associate-*r* associate-*l*
frac-times add-cbrt-cube add-log-exp unswap-sqr
associate-*r/ pow-prod-down associate-*l/ pow-sqr pow-prod-up
pow2 pow-plus prod-exp *-commutative cbrt-unprod
Counts
4 → 87
Calls

4 calls:

14.0ms
(* (cbrt (+ (* x (+ x (* 2.0 y))) (* y y))) (cbrt (+ (* x (+ x (* 2.0 y))) (* y y))))
5.0ms
(cbrt (+ (* x (+ x (* 2.0 y))) (* y y)))
5.0ms
(cbrt (+ (* x (+ x (* 2.0 y))) (* y y)))
5.0ms
(cbrt (+ (* x (+ x (* 2.0 y))) (* y y)))

series132.0ms (10.7%)

Counts
4 → 12
Calls

4 calls:

34.0ms
(cbrt (+ (* x (+ x (* 2.0 y))) (* y y)))
34.0ms
(* (cbrt (+ (* x (+ x (* 2.0 y))) (* y y))) (cbrt (+ (* x (+ x (* 2.0 y))) (* y y))))
32.0ms
(cbrt (+ (* x (+ x (* 2.0 y))) (* y y)))
32.0ms
(cbrt (+ (* x (+ x (* 2.0 y))) (* y y)))

simplify40.0ms (3.3%)

Algorithm
egg-herbie
Counts
99 → 99
Iterations

Useful iterations: 0 (26.0ms)

IterNodesCost
050042042

prune258.0ms (20.9%)

Pruning

2 alts after pruning (0 fresh and 2 done)

PrunedKeptTotal
New99099
Fresh000
Picked011
Done011
Total992101

Merged error: 0b

Counts
101 → 2

regimes99.0ms (8%)

Accuracy

Total 0.0b remaining (23.4%)

Threshold costs 0.0b (23.4%)

bsearch0.0ms (0%)

simplify1.0ms (0.1%)

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
01313
11313

end0.0ms (0%)

sample414.0ms (33.5%)

Algorithm
intervals
Results
274.0ms8000×body80valid
7.0ms216×body80invalid

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